O. Sipacheva

collaborators

3 papers

math.GN2025

There are No Product and Subgroup Theorems for the Covering Dimension of Topological Groups

Ol'ga Sipacheva

Strongly zero-dimensional topological groups $G_{1}$ , $G_{2}$ , and $G$ such that $G_{1} \times G_{2}$ has positive covering dimension and $G$ contains a closed subgroup of positive covering…

math.GN2025

The completeness of free Boolean topological groups

Ol'ga V. Sipacheva, Mikhail G. Tkachenko

It is proved that the free Boolean topological group $B (X)$ on a Tychonoff space $X$ is Weil complete if and only if the space $X$ is Dieudonné complete. This result provides a pos…

math.GM2024

Free topological Mal'tsev algebras

Ol'ga V. Sipacheva, Aleksandr A. Solonkov

A brief introduction to universal algebra and the theory of topological algebras, their varieties, and free topological algebras is presented. Free topological Mal'tsev algebras ar…